I have reattached those wires to the heater on my bike. You need an X-acto knife, a soldering pencil, some 600 grit paper, some shellac and a small brush, and if your eyes are like mine one of those magnifiers that you wear on your head. Without the magnifier, all you will do is destroy the grip.
Chris "F-Bomb" Harris has a video on grip repair that is pretty good.
If you take your time, these grips are very repairable. I've repaired three of them so far.